///////////////////////////////////////////////////////////////////////////////////
/// OpenGL Mathematics (glm.g-truc.net)
///
/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
/// Permission is hereby granted, free of charge, to any person obtaining a copy
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/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
/// copies of the Software, and to permit persons to whom the Software is
/// furnished to do so, subject to the following conditions:
/// 
/// The above copyright notice and this permission notice shall be included in
/// all copies or substantial portions of the Software.
/// 
/// Restrictions:
///		By making use of the Software for military purposes, you choose to make
///		a Bunny unhappy.
/// 
/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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///
/// @ref gtx_polar_coordinates
/// @file glm/gtx/polar_coordinates.inl
/// @date 2007-03-06 / 2011-06-07
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////

namespace glm {
    template<typename T, precision P>
    GLM_FUNC_QUALIFIER tvec3<T, P>
    polar
    (
            tvec3<T, P>
    const & euclidean
    ) {
    T const Length(length(euclidean));
    tvec3<T, P> const tmp(euclidean / Length);
    T const xz_dist(sqrt(tmp.x * tmp.x + tmp.z * tmp.z));

    return
    tvec3<T, P>(
            atan(xz_dist, tmp.y),    // latitude
    atan(tmp.x, tmp.z),        // longitude
    xz_dist
    );                // xz distance
}

template<typename T, precision P>
GLM_FUNC_QUALIFIER tvec3<T, P>
euclidean
(
        tvec2<T, P>
const & polar
)
{
T const latitude(polar.x);
T const longitude(polar.y);

return
tvec3<T, P>(
        cos(latitude)
*
sin(longitude),
        sin(latitude),
        cos(latitude)
*
cos(longitude)
);
}

}//namespace glm
